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This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

Optimization and Control · Mathematics 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

Using inverse planning tools to create radiotherapy treatment plans is an iterative process, where clinical trade-offs are explored by changing the relative importance of different objectives and rerunning the optimizer until a desirable…

Constraint ordering plays a critical role in the efficiency of Mixed-Integer Linear Programming (MILP) solvers, particularly for large-scale problems where poorly ordered constraints trigger increased LP iterations and suboptimal search…

Machine Learning · Computer Science 2025-04-08 Shuli Zeng , Mengjie Zhou , Sijia Zhang , Yixiang Hu , Feng Wu , Xiang-Yang Li

The introduction of 5G networks has significantly advanced communication technology, offering faster speeds, lower latency, and greater capacity. This progress sets the stage for Beyond 5G (B5G) networks, which present new complexity and…

Networking and Internet Architecture · Computer Science 2025-02-24 Naveed Ejaz , Salimur Choudhury

We introduce a novel variant of cutting production planning problems named Integrated Cutting and Packing Heterogeneous Precast Beams Multiperiod Production Planning (ICP-HPBMPP). We propose an integer linear programming model for the…

Optimization and Control · Mathematics 2020-08-27 Kennedy Araujo , Tiberius Bonates , Bruno Prata

This paper focuses on the design of sequential quadratic optimization (commonly known as SQP) methods for solving large-scale nonlinear optimization problems. The most computationally demanding aspect of such an approach is the computation…

Optimization and Control · Mathematics 2020-02-27 James V. Burke , Frank E. Curtis , Hao Wang , Jiashan Wang

We introduce a new quantum optimization algorithm for dense Linear Programming problems, which can be seen as the quantization of the Interior Point Predictor-Corrector algorithm \cite{Predictor-Corrector} using a Quantum Linear System…

Quantum Physics · Physics 2020-10-15 P. A. M. Casares , M. A. Martin-Delgado

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

The aim is to create a method for accurately estimating the duration of post-cancer treatment, particularly focused on chemotherapy, to optimize patient care and recovery. This initiative seeks to improve the effectiveness of cancer…

Computers and Society · Computer Science 2025-04-24 Joyee Chakraborty , Mazahrul Islam Tohin , Danbir Rashid , Tanjil Ahmed Tanmoy , Md. Jehadul Islam Mony

Multidimensional Retiming is one of the most important optimization techniques to improve timing parameters of nested loops. It consists in exploring the iterative and recursive structures of loops to redistribute computation nodes on cycle…

Programming Languages · Computer Science 2012-05-22 Yaroub Elloumi , Mohamed Akil , Mohamed Hedi Bedoui

By allowing a large number of links to be simultaneously transmitted, directional antenna arrays with beamforming have been envisioned as a promising candidate to reach unprecedented levels of spatial isolation. To achieve the high…

Information Theory · Computer Science 2019-01-16 Yilin Li , Jian Luo , Richard A. Stirling-Gallacher , Giuseppe Caire

Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP)…

Robotics · Computer Science 2024-09-19 Mingxin Yu , Chuchu Fan

Purpose: Radiation therapy treatment planning is a trial-and-error, often time-consuming process. An optimal dose distribution based on a specific anatomy can be predicted by pre-trained deep learning (DL) models. However, dose…

Medical Physics · Physics 2021-09-15 Jianhui Ma , Dan Nguyen , Ti Bai , Michael Folkerts , Xun Jia , Weiguo Lu , Linghong Zhou , Steve Jiang

The unconstrained binary quadratic programming (UBQP) problem is a class of problems of significant importance in many practical applications, such as in combinatorial optimization, circuit design, and other fields. The positive…

Optimization and Control · Mathematics 2024-08-12 Xinyue Huo , Ran Gu

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

This work considers the problem of optimal lane changing in a structured multi-agent road environment. A novel motion planning algorithm that can capture long-horizon dependencies as well as short-horizon dynamics is presented. Pivotal to…

Robotics · Computer Science 2024-05-07 Rudolf Reiter , Armin Nurkanovic , Daniele Bernadini , Moritz Diehl , Alberto Bemporad

Fixed-point iteration algorithms like RTA (response time analysis) and QPA (quick processor-demand analysis) are arguably the most popular ways of solving schedulability problems for preemptive uniprocessor FP (fixed-priority) and EDF…

Operating Systems · Computer Science 2023-08-21 Abhishek Singh

In the world of deep learning, Transformer models have become very significant, leading to improvements in many areas from understanding language to recognizing images, covering a wide range of applications. Despite their success, the…

Machine Learning · Computer Science 2024-07-19 Ghadeer Jaradat , Mohammed Tolba , Ghada Alsuhli , Hani Saleh , Mahmoud Al-Qutayri , Thanos Stouraitis , Baker Mohammad

Robust treatment planning algorithms for Intensity Modulated Proton Therapy (IMPT) and Intensity Modulated Radiation Therapy (IMRT) allow for uncertainty reduction in the delivered dose distributions through explicit inclusion of error…

Medical Physics · Physics 2025-10-15 Remo Cristoforetti , Jennifer Josephine Hardt , Niklas Wahl

We determine how prediction methods combine with optimization methods in two-stage knowledge-based planning (KBP) pipelines to produce radiation therapy treatment plans. We trained two dose prediction methods, a generative adversarial…

Medical Physics · Physics 2019-11-01 Aaron Babier , Rafid Mahmood , Andrea L. McNiven , Adam Diamant , Timothy C. Y. Chan
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